Finding the Third Proportional to 37,258 and 72,642

Step by Step Solution

1. Step 1: Write the proportion equation
   37,258 : 72,642 = 72,642 : x
2. Step 2: Convert to fraction form
   37,258/72,642 = 72,642/x
3. Step 3: Cross multiply
   37,258x = 72,642 × 72,642
4. Step 4: Simplify right side
   37,258x = 5,276,860,164
5. Step 5: Solve for x
   x = 5,276,860,164/37,258
6. Step 6: Final answer
   x = 141,630.26